CP Riding a Loop-the- Loop . A car in an amusement park ride rolls without friction around a track ( Fig. P7.42 ). The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. (a) What is the minimum value of h (in terms of R ) such that the car moves around the loop without falling off at the top (point B ?)? (b) If h = 3.50R and R = 14.0 m, compute the speed, radial acceleration, and tangential acceleration of the passengers when the car is at point C . which is at the end of a horizontal diameter. Show these acceleration components in a diagram, approximately to scale.
CP Riding a Loop-the- Loop . A car in an amusement park ride rolls without friction around a track ( Fig. P7.42 ). The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. (a) What is the minimum value of h (in terms of R ) such that the car moves around the loop without falling off at the top (point B ?)? (b) If h = 3.50R and R = 14.0 m, compute the speed, radial acceleration, and tangential acceleration of the passengers when the car is at point C . which is at the end of a horizontal diameter. Show these acceleration components in a diagram, approximately to scale.
CP Riding a Loop-the- Loop. A car in an amusement park ride rolls without friction around a track (Fig. P7.42). The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. (a) What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B?)? (b) If h = 3.50R and R = 14.0 m, compute the speed, radial acceleration, and tangential acceleration of the passengers when the car is at point C. which is at the end of a horizontal diameter. Show these acceleration components in a diagram, approximately to scale.
A light, rigid rod is 77.0 cm long. Its top end is pivoted on a frictionless, horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speedat the bottom is required to make the ball go over the top of the circle?
Answer : 5.49 m/s
NZM.11 An unpowered roller-coaster car starts at rest at
the top of a hill of height H, rolls down the hill, and then
goes around a vertical loop of radius R. Determine the
minimum value for H required if the car is to stay on the
track at the top of the loop. (Hints: At the top of the loop,
the car is upside down. If it is in contact with the track,
though, the contact interaction will exert a normal force
on the car perpendicular to the track and away from the
track, since the normal force is a compression force. You
may find it helpful to use conservation of energy here.)
A rod of length L=3.00 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A ball of mass m = 10.0 kg is attached to the other end. The rod is pulled aside to angle θ0 = 70° and released with initial velocity ? = 5.00 m/s. (a) What is the speed of the ball at the lowest point? (b) what is the speed of the ball when θ = 10°?
Chapter 7 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
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